{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "8f61e839-25c3-4a03-b4c2-197a826c6532",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/opt/conda/lib/python3.9/site-packages/scipy/__init__.py:146: UserWarning: A NumPy version >=1.16.5 and <1.23.0 is required for this version of SciPy (detected version 1.24.1\n",
      "  warnings.warn(f\"A NumPy version >={np_minversion} and <{np_maxversion}\"\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x432 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#  引入合适的模块\n",
    "import matplotlib.pyplot as plt\n",
    "import cv2 as cv\n",
    "from skimage import io\n",
    "\n",
    "img = io.imread('red_mark.jpeg')  # 读入RGB图:  red_mark.jpeg\n",
    "\n",
    "#  构建一个3个子图的画板,  长15,  宽6\n",
    "fg, ax = plt.subplots(1, 3, figsize=(15, 6))\n",
    "\n",
    "ax[0].imshow(img)  # 在第一个子图显示原图\n",
    "\n",
    "#  得到红色标记掩模\n",
    "avg = cv.imread('red_mark.jpeg', 0)  # 1.  得到均值灰度图\n",
    "\n",
    "r = img[:, :, 0]  # 2.  得到红色通道灰度图\n",
    "\n",
    "mask = (r > avg * 1.5) & (r > 200)  # 3.  得到红色主导色掩模  mask(严格系数为1.3，且大于200)\n",
    "\n",
    "ax[1].imshow(mask, cmap='gray')  # 4.  在子图2显示掩模\n",
    "\n",
    "img1 = io.imread('red_mark.jpeg')\n",
    "img1[mask] = [255, 255, 255]  # 把红色标记部分变成白色的\n",
    "\n",
    "ax[2].imshow(img1)  # 在子图3显示(大部分)去除红色标记后原图\n",
    "\n",
    "#  调整子图位置\n",
    "#  以最紧凑模式把plt.show()对应内容保存显示内容到  out.png\n",
    "plt.tight_layout()\n",
    "plt.savefig('out.png', bbox_inches='tight')\n",
    "plt.show()\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
